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Can you each work out what shape you have part of on your card? What will the rest of it look like?

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This challenge invites you to create your own picture using just straight lines. Can you identify shapes with the same number of sides and decorate them in the same way?

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What shape is made when you fold using this crease pattern? Can you make a ring design?

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Have you ever noticed the patterns in car wheel trims? These questions will make you look at car wheels in a different way!

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Can you lay out the pictures of the drinks in the way described by the clue cards?

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Can you cut a regular hexagon into two pieces to make a parallelogram? Try cutting it into three pieces to make a rhombus!

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If these balls are put on a line with each ball touching the one in front and the one behind, which arrangement makes the shortest line of balls?

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Can you make a rectangle with just 2 dominoes? What about 3, 4, 5, 6, 7...?

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This practical activity challenges you to create symmetrical designs by cutting a square into strips.

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Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

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We have a box of cubes, triangular prisms, cones, cuboids, cylinders and tetrahedrons. Which of the buildings would fall down if we tried to make them?

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A group of children are discussing the height of a tall tree. How would you go about finding out its height?

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Using a loop of string stretched around three of your fingers, what different triangles can you make? Draw them and sort them into groups.

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The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

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An activity making various patterns with 2 x 1 rectangular tiles.

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Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

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Have a go at making a few of these shapes from paper in different sizes. What patterns can you create?

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Watch this "Notes on a Triangle" film. Can you recreate parts of the film using cut-out triangles?

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Can you see which tile is the odd one out in this design? Using the basic tile, can you make a repeating pattern to decorate our wall?

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Can you make five differently sized squares from the interactive tangram pieces?

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Can you work out what shape is made when this piece of paper is folded up using the crease pattern shown?

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Make a flower design using the same shape made out of different sizes of paper.

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Can you visualise what shape this piece of paper will make when it is folded?

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Can you work out what shape is made by folding in this way? Why not create some patterns using this shape but in different sizes?

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This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?

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We can cut a small triangle off the corner of a square and then fit the two pieces together. Can you work out how these shapes are made from the two pieces?

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Can you put these shapes in order of size? Start with the smallest.

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This problem invites you to build 3D shapes using two different triangles. Can you make the shapes from the pictures?

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In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

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This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

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What do these two triangles have in common? How are they related?

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Exploring and predicting folding, cutting and punching holes and making spirals.

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What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?

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Make a cube out of straws and have a go at this practical challenge.

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Use the three triangles to fill these outline shapes. Perhaps you can create some of your own shapes for a friend to fill?

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Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

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Ideas for practical ways of representing data such as Venn and Carroll diagrams.

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Is there a best way to stack cans? What do different supermarkets do? How high can you safely stack the cans?

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Can you make the most extraordinary, the most amazing, the most unusual patterns/designs from these triangles which are made in a special way?

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For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

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Can you each work out the number on your card? What do you notice? How could you sort the cards?

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Can you split each of the shapes below in half so that the two parts are exactly the same?

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Can you describe a piece of paper clearly enough for your partner to know which piece it is?

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These practical challenges are all about making a 'tray' and covering it with paper.

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You will need a long strip of paper for this task. Cut it into different lengths. How could you find out how long each piece is?

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In this activity focusing on capacity, you will need a collection of different jars and bottles.

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For this activity which explores capacity, you will need to collect some bottles and jars.